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Finding the Fourth Proportional to 107,078.70, 160,619.13 and 43,882.59

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Solution

The fourth proportional to 107,078.70, 160,619.13 and 43,882.59 is: 65,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,078.70 : 160,619.13 = 43,882.59 : x
  2. Step 2: Convert to fraction form
    107,078.70/160,619.13 = 43,882.59/x
  3. Step 3: Cross multiply
    107,078.70x = 160,619.13 × 43,882.59
  4. Step 4: Simplify right side
    107,078.70x = 7,048,383,427.95
  5. Step 5: Solve for x
    x = 7,048,383,427.95/107,078.70
  6. Step 6: Final answer
    x = 65,824.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.